Question

Prove algebraically that 7(n+2) – 3(n + 4) is always even

Answer 1

Explanation:

7(n+2)-3(n+4)

7n+14-3n-12

7n-3n+14-12

4n+14-12

4n+2

2(2n+1)

2(m)

2m where m=2n+1.

Thus 7(n+2)-3(n+4) is always even.